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Dynamically Stable Sets in Infinite Strategy Spaces

Author

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  • Thomas Norman

Abstract

Evolutionary game theory has largely focused on finite games. Dynamic stability is harder to attain in infinite strategy spaces; Bomze (Monatshefte fur Mathematik 110, 1990, 189-206) and Oechssler and Riedel (Economic Theory 17, 2001, 141-162) provide conditions for the stability of rest points under the replicator dynamics. Here, conditions are given for the stability of sets of strategies under this process.

Suggested Citation

  • Thomas Norman, 2005. "Dynamically Stable Sets in Infinite Strategy Spaces," Economics Series Working Papers 251, University of Oxford, Department of Economics.
    • Handle: RePEc:oxf:wpaper:251
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    2. Dharini Hingu, 2020. "Asymptotic stability of strongly uninvadable sets," Annals of Operations Research, Springer, vol. 287(2), pages 737-749, April.
    3. Aradhana Narang & A. J. Shaiju, 2019. "Evolutionary Stability of Polymorphic Profiles in Asymmetric Games," Dynamic Games and Applications, Springer, vol. 9(4), pages 1126-1142, December.
    4. Norman, Thomas W.L., 2012. "Equilibrium selection and the dynamic evolution of preferences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 311-320.
    5. Aradhana Narang & A. J. Shaiju, 2021. "Stability of faces in asymmetric evolutionary games," Annals of Operations Research, Springer, vol. 304(1), pages 343-359, September.
    6. Yanhu Bai & Hansheng Wu & Minmin Huang & Jianli Luo & Zhuodong Yang, 2023. "How to build a cold chain supply chain system for fresh agricultural products through blockchain technology—A study of tripartite evolutionary game theory based on prospect theory," PLOS ONE, Public Library of Science, vol. 18(11), pages 1-27, November.
    7. Sivan Frenkel & Yuval Heller & Roee Teper, 2018. "The Endowment Effect As Blessing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 59(3), pages 1159-1186, August.
    8. Sandholm, William H., 2015. "Population Games and Deterministic Evolutionary Dynamics," Handbook of Game Theory with Economic Applications,, Elsevier.
    9. Roee Teper, 2014. "The Endowment Effect as a Blessing," Working Paper 5862, Department of Economics, University of Pittsburgh.

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    Keywords

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    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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